if you downloaded all those apps under the same iTunes account and on the same computer, there is no logical reason to download all those apps… you can not even share those apps because they are “locked” to your iTunes account…

Even if it was fine licences, you downloaded 11 copies of the same apps… you have 55 devices to synchronize?!?

Anyway, it’s 5 computers authorized for one specific iTunes account… but there is no limit on how many devices (iPod, iPad or iPhone) that you can synchronized with a specific computer…
Your device does not need to know which iTunes account that you used to download all your apps… it will just take what’s on your computer…